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Finding the Fourth Proportional to 115,401.84, 173,051.84 and 52,219.41

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Solution

The fourth proportional to 115,401.84, 173,051.84 and 52,219.41 is: 78,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,401.84 : 173,051.84 = 52,219.41 : x
  2. Step 2: Convert to fraction form
    115,401.84/173,051.84 = 52,219.41/x
  3. Step 3: Cross multiply
    115,401.84x = 173,051.84 × 52,219.41
  4. Step 4: Simplify right side
    115,401.84x = 9,036,664,952.53
  5. Step 5: Solve for x
    x = 9,036,664,952.53/115,401.84
  6. Step 6: Final answer
    x = 78,306.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.